Solve 3x+1/2x+6=2x

$$3 x + \frac { 1 } { 2 } x + 6 = 2 x$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Combine 3x and \frac{1}{2}x to get \frac{7}{2}x.

$$\frac{7}{2}x+6=2x$$

Subtract 2x from both sides.

$$\frac{7}{2}x+6-2x=0$$

Combine \frac{7}{2}x and -2x to get \frac{3}{2}x.

$$\frac{3}{2}x+6=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$\frac{3}{2}x=-6$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$x=-6\times \frac{2}{3}$$

Express -6\times \frac{2}{3} as a single fraction.

$$x=\frac{-6\times 2}{3}$$

Multiply -6 and 2 to get -12.

$$x=\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$x=-4$$